Here is a quick article on how it effected housing for example (source is low-key cringe but I'm lazy rn):

https://www.history.com/articles/housing-segregation-new-deal-program

Some terms for search related to the housing parts are redlining, environmental racism, and exclusionary zoning. Housing in particular not only gives insights into the historic distrust, but also how the class war obscufates itself in America on its other fronts.